- K. Kuribayashi, A comparison between two de Rham complexes in diffeology, Proceeding of the AMS, 149 (2021), 4963-4972. pdf
- K. Kuribayashi, Simplicial cochain algebras for diffeological spaces, Indagationes Mathematicae, 31 (2020), 934-967. pdf https://doi.org/10.1016/j.indag.2020.08.002
- K. Kuribayashi, On the whistle cobordism operation in string topology of classifying spaces, Documenta Mathematica, 25 (2020), 125-142. pdf
- K. Kuribayashi and L. Menichi, The Batalin--Vilkovisky algebra in the string topology of classifying spaces, Canadian Journal of Mathematics, 71 (2019), 843-889. pdf
- K. Kuribayashi, Derived string topology: from the view point of spectral sequences and algebraic models for spaces, (in Japanese), Sugaku, 71 (2019), 225-251. Sugaku J-STAGE
- K. Kuribayashi and Y. Numata, A topos associated with a colored category, Journal of Combinatorial Theory, Series A, 156 (2018), 142-163. pdf
- T. Aoki and K. Kuribayashi, On the category of stratifolds, Cahiers de Topologie et Géométrie Différentielle Catégoriques, 58 (2017), 131-160. pdf
- K. Kuribayashi, The ghost length and duality between chain and cochain type levels, Homology, Homotopy and Applications, 18 (2016), 107-132. pdf
- K. Kuribayashi and Y. Momose, On Mitchell's embedding theorem for a quasi-schemoid, Journal of Algebra, 458 (2016), 222-248. pdf
- K. Kuribayashi, L. Menichi and T. Naito, Derived string topology and the Eilenberg--Moore spectral sequence, Israel Journal of Mathematics, 209 (2015), 745-802. pdf
- K. Kuribayashi and K. Matsuo, Association schemoids and their categories, Applied Categorical Structures, 23 (2015), 107-136. pdf
- K. Kuribayashi, On strong homotopy for quasi-schemoids, Theory and Applications of Categories, 30 (2015), 1-14. pdf
- K. Kuribayashi, L. Menichi and T. Naito, Behavior of the Eilenberg--Moore spectral sequence in derived string topology, Topology and its Applications, 164 (2014), 24-44. pdf
- K. Kuribayashi, Upper and lower bounds of the (co)chain type level of a space, Algebras and Representation Theory, 16 (2013), 129-153. pdf
- K. Kuribayashi, On the levels of maps and topological realization of objects in a triangulated category, J. Pure and Appl. Algebra, 216 (2012), 752-765. pdf
- K. Kuribayashi, The Hochschild cohomology ring of the singular cochain algebra of a space, Annales de l'Institut Fourier (Grenoble), 61 no. 5 (2011), 1779-1805. pdf
- K. Kuribayashi, On extensions of a symplectic class, Differential Geometry and its Applications, 29 (2011), 801-815. pdf
- K. Kuribayashi, Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space, Homology, Homotopy and Applications, 13 (2011), 349-379. abstract, pdf
- K. Kuribayashi, On the rational cohomology of the total space of the universal fibration with an elliptic fibre, Contemporary Math. vol. 519, Amer. Math. Soc., Providence, RI, 2010, 165-179. pdf
- Yoshihiro Hirato, Katsuhiko Kuribayashi and Nobuyuki Oda, A function space model approach to the rational evaluation subgroups, Math. Z., 258(2008), 521-555. abstract
- D. Chataur and K. Kuribayashi, An operadic model for a mapping space and its associated spectral sequence, J. Pure and Appl. Algebra, 210 (2007), 321-342. abstract
- K. Kuribayashi and M. Yokotani, Iterated cyclic homology, Kodai Mathematical Journal, 30 (2007), 19-40. abstract
- K. Kuribayashi, M. Mimura and T. Nishimoto, Twisted tensor products related to the cohomology of the classifying spaces of loop groups, Memoirs of the AMS, 180 (2006), no. 849. abstract
- K. Kuribayashi, A rational model for the evaluation map, Georgian Mathematical Journal, 13 (2006), 127-141. abstract
- K. Kuribayashi and T. Yamaguchi, A rational splitting of a based mapping space, Algebraic & Geometric Topology, 6 (2006), 309-327. abstract http://arxiv.org/abs/0902.4876
- K. Kuribayashi, Eilenberg--Moore spectral sequence calculation of function space cohomology, manuscripta mathematica, 114 (2004), 305-325. abstract
- A. Kono and K. Kuribayashi, Module derivations and cohomological splitting of adjoint bundles, Fundamenta Mathematicae, 180 (2003), 199-221. abstract
- K. Kuribayashi, Module derivations and non triviality of an evaluation fibration, Homology, Homotopy and Applications 4(1)(2002), 87-101. abstract
- K. Kuribayashi, The cohomology of a pull-back on K-formal spaces, Topology Appl., 125 (2002), 125-159. abstract
- K. Kuribayashi, On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators, Topology Appl., 125 (2002), 161-170. abstract
- K. Kuribayashi, The S^1-equivariant cohomology of homogeneous spaces as deformations of algebras, Bull. London Math. Soc. 33 (2001), 89-99.
- K .Kuribayashi and T. Yamaguchi, On additive K-theory with the Loday--Quillen *-product, Math. Scand. 87 (2000), 5-21.
- K. Kuribayashi, Mod p equivariant cohomology of homogeneous spaces, J. Pure and Appl. Algebra 147 (2000), 95-105.
- K. Kuribayashi, Module derivations and the adjoint action of a finite loop space, J. Math. Kyoto Univ. 39 (1999), 67-85.
- K. Kuribayashi and T. Yamaguchi, The vanishing problem of the string class with degree 3, J. Austral. Math. Soc. (series A) 65 (1998), 129-142.
- K. Kuribayashi and T. Yamaguchi, The cohomology algebra of certain free loop spaces, Fund. Math. 154 (1997), 57-73.
- K. Kuribayashi, On the vanishing problem of string classes, J. Austral. Math. Soc. (series A) 61 (1996), 258-266.
- K. Kuribayashi, On the real cohomology of spaces of free loops on manifolds, Fund. Math. 150 (1996), 173-188.
- K. Kuribayashi, The cohomology ring of the space of loops on Lie groups and homogeneous spaces, Pacific J. Math. 163 (1994), 361-391.
- K. Kuribayashi, The extension problem and the mod 2 cohomology of the space of loops on Spin(N), Proc. Roy. Soc. Edinburgh 121A (1992), 91-99.
- K. Kuribayashi, On the mod p cohomology of the spaces of free
loops on the Grassmann and Stiefel manifolds, J. Math. Soc. Japan
43 (1991), 331-346.
*Papers accepted for publication* - K. Kuribayashi, L. Menichi and T. Naito, Remarks on derived string topology, (2017). The title has been changed. The previous one is "Loop products on Noetherian H-spaces".
- K. Kuribayashi, T. Naito, S. Wakatsuki and T. Yamaguchi, A reduction of the string bracket to the loop product, (2021) 30 pages. pdf.
- K. Kuribayashi, Local systems in diffeology, (2022) 37 pages. This revised version (version 4) contains brief reviews of diffeology and local systems with values in CDGA's. Moreover, an explicit construction of a minimal local system model for the free loop space of a diffeological space is described in Example 4.9. pdf.
- K. Kuribayashi, T. Naito, S. Wakatsuki and T. Yamaguchi, Cartan calculi on the free loop spaces, (2022) 39 pages. pdf.

- K. Kuribayashi, M. Mimura and M. Tezuka, A multiplication on the twisted tensor product, Cohomology of Finite Groups and Related Topics (Japanese), RIMS Kokyuroku, 1140 (2000), 52-60.
- K. Kuribayashi, An operadic model for a mapping space and its associated spectral sequence, July, 2005. pdf
- K. Kuribayashi, A function space model approach to the rational evaluation subgroups, May, 2007. pdf
- K. Kuribayashi, On the levels of spaces, Cohomology Theory of Finite Groups and Related Topics 2009, RIMS Kokyuroku, September, 2009. pdf
- K. Kuribayashi, A Batalin--Vilkovisky algebra structure on the Moore spectral sequence for a Poincaré duality space, Cohomology Theory of Finite Groups and Related Topics 2011. pdf
- K. Kuribayashi, On the category of stratifolds -- The Serre--Swan Theorem --, Symposium on Homotopy Theory 2017 (Takamatsu, Japan). Slides pdf
- K. Kuribayashi, The non-triviality of the whistle cobordism operation associated with string topology for classifying spaces, Third Pan-Pacific International Conference on Topology and Applications, Chengdu, China, November, 2019 Slides pdf
- K. Kuribayashi, A singular de Rham algebra and spectral sequences in diffeology, Global Diffeology Seminar, Online on Zoom, 6 June 2021 Slides pdf
- K. Kuribayashi, Cartan calculi on the free loop spaces, Tuesday Seminar on Topology (Graduate School of Math. The University of Tokyo), Online on Zoom, 14 June 2022 Slides pdf
- K. Kuribayashi, The de Rham theorem in diffeology, Note for an intensive course, 13--17 June 2022, 34 pages. pdf
- K. Kuribayashi, Local systems in diffeology, International Meeting 2022 AMS-EMS-SMF, 18--22 July, 2022, Université Grenoble Alpes, 18 July, 2022 Slides pdf